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arXiv · 0804.2498

Fractional dynamics in the Lévy quantum kicked rotor

Alejandro Romanelli
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Abstract

We investigate the quantum kicked rotor in resonance subjected to momentum measurements with a Lévy waiting time distribution. We find that the system has a sub-ballistic behavior. We obtain an analytical expression for the exponent of the power law of the variance as a function of the characteristic parameter of the Lévy distribution and connect this anomalous diffusion with a fractional dynamics.

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Alejandro Romanelli. 2008-04-15. Fractional dynamics in the Lévy quantum kicked rotor. https://doi.org/10.1103/physreve.78.056209

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